Deja is training for a race on Saturday. On Sunday, she runs $\frac{1}{6}$ of a mile. On Monday she runs $\frac{1}{5}$ of a mile. On Tuesday she runs $\frac{1}{4}$ of a mile. On Wednesday she runs $\frac{1}{3}$ of a mile. On Thursday she runs $\frac{1}{2}$ of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?

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